Birdseed costs ​$0.54 a pound and sunflower seeds cost ​$0.84 a pound.

Question

Birdseed costs ​$0.54 a pound and sunflower seeds cost ​$0.84 a pound. Angela​ Leinenbachs' pet store wishes to make a ​50-pound mixture of birdseed and sunflower seeds that sells for ​$0.62 per a pound. How many pounds of each type of seed should she​ use?

Answer 1

54(50-x) + 84(x) = 62(50)

2700 -54x +84x = 3100

30x = 3100-2700 = 400

x = 400/30 = 40/3 = about 13.3 lbs. of $.84 sunflower seed exact amount = 13 1/3 lbs

50-x = about 36.7 lbs. of $.54 bird seed exact amount = 36 2/3 lbs.

54 is within 8 of 62

84 is within 22 of 62

you need 22/8 = 11/4 or 2.75 times as much of .54 as .84

2.75 times 13.3 = 36.6

.54(36.7) + .84(13.3 = .62(50)

19.8 + 11.2 = 31